Maxima and MinimaHard
Question
For x ∈ 
, define f(x)
. Then f has
, define f(x). Then f hasOptions
A. local minimum at π and 2 π
B. local minimum at π and local maximum at 2 π
C. local maximum at π and local minimum at 2 π
D.local maximum at π and 2 π
Solution
f ′(x) = √x sin x
Given x ∈
f ′(x) changes sign from + ve to - ve at π
f ′(x) changes sign from - ve to + ve at 2π
f has local max at π, local min at 2π
Given x ∈
f ′(x) changes sign from + ve to - ve at π
f ′(x) changes sign from - ve to + ve at 2π
f has local max at π, local min at 2π
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